2023133001000 has 512 divisors, whose sum is σ = 6579615744000. Its totient is φ = 517219584000.

The previous prime is 2023133000963. The next prime is 2023133001023. The reversal of 2023133001000 is 1003313202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1791968436 + ... + 1791969564.

It is an arithmetic number, because the mean of its divisors is an integer number (12850812000).

Almost surely, 2^{2023133001000} is an apocalyptic number.

2023133001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023133001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289807872000).

2023133001000 is an abundant number, since it is smaller than the sum of its proper divisors (4556482743000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023133001000 is a wasteful number, since it uses less digits than its factorization.

2023133001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2023133001000 its reverse (1003313202), we get a palindrome (2024136314202).

The spelling of 2023133001000 in words is "two trillion, twenty-three billion, one hundred thirty-three million, one thousand".